Lab 2- Georgie Simpson, Pamela Reyes, Tillman Horn

xlsx

School

Germanna Community College *

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Course

201

Subject

Statistics

Date

Feb 20, 2024

Type

xlsx

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Uploaded by BarristerTurkeyMaster62

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Understanding the color code for PHY 241 PI Name: Tillman Horn ~ Raw Data Formula that needs to be entered Error in value? Open Response area DA Name: Georgie Simpson ~ Researcher Name: Pamela Reyes ~ Small Ball ~ ~ ~ Raw Data Calculated Data ~ ~ Height ~ Mass (g) δmass (g) ~ 7.9 0.05 0.341 0.344 0.3425 0.0015 0.2683 0.0018809 ~ ~ Trial Time (s) ~ 1 0.2668 9.81 0.3580538053905 0.348152671 0.35310323825 0.0049506 ~ 2 0.2687 ~ 3 0.2682 ~ 4 0.267 ~ 5 0.2654 ~ 6 0.2683 ~ 7 0.2669 ~ 8 0.2699 ~ 9 0.2701 ~ 10 0.2717 0.2976 ~ ~ ~ Medium Ball ~ ~ ~ Raw Data Calculated Data ~ ~ Height ~ Mass (g) δmass (g) ~ 15.6 0.05 0.341 0.344 0.3425 0.0015 0.2644 0.0009821 ~ ~ Trial Time (s) ~ 1 0.263 9.81 0.3454475667084 0.340353096 0.3429003314 0.0025472 ~ 2 0.2652 ~ 3 0.2648 ~ 4 0.2626 ~ 5 0.2649 ~ 6 0.2644 ~ 7 0.2639 ~ 8 0.2657 ~ 9 0.2644 ~ 10 0.2651 ~ ~ ~ ~ Large Ball ~ ~ ~ Raw Data Calculated Data ~ ~ Height ~ Mass (g) δmass (g) ~ 27.5 0.05 0.341 0.344 0.3425 0.0015 0.26267 0.0008512 ~ ~ Trial Time (s) ~ 1 0.2623 9.81 0.3406200105113 0.336233236 0.3384266232 0.0021934 ~ 2 0.2615 ~ 3 0.2636 ~ 4 0.2624 ~ 5 0.2631 ~ 6 0.2624 ~ 7 0.2616 ~ 8 0.2628 ~ 9 0.2643 ~ 10 0.2627 ~ ~ ~ ~ ~ ~ Researcher 1: Explain three possible reasons for why the ten trails of part 1 are slightly different. At least one reason should have nothing to do with the actions of the members in the group. (You may either reference the small ball data or the large ball data, whichever is more convenient.) A possibility could be the conditions of the ball dropper plate slightly changing throughout the experiment Ex.position. Additionally, another reason could be air resistance that is present in the lab. Finally surface area could’ve also impacted the difference in data slightly (shifts). I came up with these possible reasons when observing the small ball data. y measured_min (m) y measured_max (m) y measured_average (m) δy measured (m) t average_small (s) δt (s) DA 1: Provide the following three graphs. Create and/or modify what was provided in the original template as needed: i) Showing a scatter plot of the drop time data for the large ball . ii) Comparing y_measured and y_theory for the large ball . iii) Comparing t_(average_small) , t_(average_medium), and t_(average_large) on the y axis to mass along the x-axis. g theory (m/s 2 ) y theory_max (m) y theory_min (m) y theory (m) δy theory (m) y measured_min (m) y measured_max (m) y measured_average (m) δy measured (m) t average_mediuml (s) δt (s) g theory (m/s 2 ) y theory_max (m) y theory_min (m) y theory (m) δy theory (m) DA2: Create a caption which explains the purpose of each of the three graphs above. Mention the “single largest source of uncertainty” identified by the Researcher (below in R2) and how that is integrated into the graph (or how it would adjust the graph if it is not yet a part of the graph). Add each caption below each graph. y measured_min (m) y measured_max (m) y measured_average (m) δy measured (m) t average_large (s) δt (s) Researcher2: Compare the various uncertainties in this experiment and determine the single largest source of uncertainty in your final results. Is this a “systematic uncertainty” or a “random uncertainty?” g theory (m/s 2 ) y theory_max (m) y theory_min (m) y theory (m) δy theory (m) When comparing the various uncertainties in this experiment I have determined that the conditions of the ball dropper plate is the single largest source of uncertainty in our final results. I believe the data reflects random uncertainty. PI 1: Identify any key detail(s) of the two slow motion videos which account for the Systematic Uncertainty of the experiment you performed. If there are no key detail(s) to be reported from the videos, note and document your observation. One systematic aspect of the experiment that could be accounted for include the accuracy of the electric contact when the set-up screw is loosed. This is systematic because it would be an error in the equipment which we can not randomly change. Another aspect would be the location at which the ball hits the pressure plate and how different locations trigger the time to stop. This can be varied as trials happen because the pressure plate is not always fully secured. PI 2: Based on the graph generated by DA1 (iii), does the drop time depend on the mass of the ball? If your answer is yes you need to give some explanation for why this might be the case. If your answer is no you need to give some explanation for why this might not be the case. In your explanations, use keywords such as “error bars” and “overlap.” After interpreting our ili. graph, it shows that the drop time depends on the mass of the ball. The error bars of the small and large balls do not overlap each other which shows their ranges vary largely from each other. If mass was not a factor, then the error bars would, at the very least, overlap since mass is the only variable that changes in the experiment. 0 2 4 6 8 10 12 0.262 0.264 0.266 0.268 0.27 0.272 0.274 Drop time of small ball vs. trial number Drop time Average time Trial Number Time (s) 0.336 0.338 0.34 0.342 0.344 0.346 0.348 0.35 0.352 0.354 Comparison of Ymeasured and Ytheory for small ball Ymeasured Ytheory Height (m) 7 8 9 10 11 12 13 14 15 16 0 0.05 0.1 0.15 0.2 0.25 0.3 Comparison of average drop time versus mass of ball taverage_small (s) Mass (g) Average drop time (s) 0 2 4 6 8 10 12 0.26 0.261 0.262 0.263 0.264 0.265 Drop Time Data (Large Ball) 0.8 1 1.2 1.4 1.6 1.8 2 0.3395 0.34 0.3405 0.341 0.3415 0.342 0.3425 0.343 Y-measured and Y- theory 0.8 1 1.2 1.4 1.6 1.8 2 0.258 0.26 0.262 0.264 0.266 0.268 0.27 Comparing t_average This graph represents the drop time of the large ball. According to gravity neglecting the air resistance all of this times should be equivillant to one another. Do to the uncertainty of the dropper plate the values differ from eachother in small amounts. This graph is comparing the y_measured and y_theory of the large ball. Using the theory equation the values change based on the t average for the large ball. These values are based on the ball drop times meaning the drop pad also resolves in uncertainty for this graph as well. This graph compares the average ball drop times for each of the different ball masses (Blue: Small, Orange: Medium, Grey:Large). These ball drop times were collected using the drop pad which is a common uncertainty in this experiment. SLO-MO DROP VIDEO SCREENSHOTS

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